POWER

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Calculate the power of two numeric arrays, vectors, matrices, or constants element-wise. Params: a : OrderedPair|Scalar|Vector The input a used to compute a to the power of b. b : OrderedPair|Scalar|Vector The input b used to compute a to the power of b. Returns: out : OrderedPair|Scalar|Vector OrderedPair if a is an OrderedPair. x: the x-axis of input a. y: the result of a^b (or a**b). Scalar if a is a Scalar. c: the result of a^b (or a**b). Vector if a is a Vector. v: the result of a^b (or a**b).

Python Code

import numpy as np
from flojoy import OrderedPair, flojoy, Scalar, Vector
from blocks.MATH.ARITHMETIC.utils.arithmetic_utils import get_val
from functools import reduce


@flojoy
def POWER(
    a: OrderedPair | Scalar | Vector, b: list[OrderedPair | Scalar | Vector]
) -> OrderedPair | Scalar | Vector:
    """Calculate the power of two numeric arrays, vectors, matrices, or constants element-wise.

    Parameters
    ----------
    a : OrderedPair|Scalar|Vector
        The input a used to compute a to the power of b.
    b : OrderedPair|Scalar|Vector
        The input b used to compute a to the power of b.

    Returns
    -------
    OrderedPair|Scalar|Vector
        OrderedPair if a is an OrderedPair.
        x: the x-axis of input a.
        y: the result of a^b (or a**b).

        Scalar if a is a Scalar.
        c: the result of a^b (or a**b).

        Vector if a is a Vector.
        v: the result of a^b (or a**b).
    """

    initial = get_val(a)
    seq = map(lambda dc: get_val(dc), b)
    y = reduce(lambda u, v: np.power(u, v), seq, initial)

    match a:
        case OrderedPair():
            return OrderedPair(x=a.x, y=y)
        case Vector():
            return Vector(v=y)
        case Scalar():
            return Scalar(c=y)

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Example App

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Download this Flojoy App

This app shows how to use the LOG and POWER blocks.

Blocks used:

• LOG
• POWER
• LINSPACE (set to range from 0 to 10 with a size of 1000)
• CONSTANT (set to a scalar of 3)
• 2x BIG_NUMBER

The blocks were connected as shown and the app was run. The result is two functions: logarithmic and power functions. Note that these block can also be used with two scalars to calculate a normal logarithm or power.